Spatial biases during mental arithmetic: evidence from eye movements on a blank screen

While the influence of spatial-numerical associations in number categorization tasks has been well established, their role in mental arithmetic is less clear. It has been hypothesized that mental addition leads to rightward and upward shifts of spatial attention (along the “mental number line”), whereas subtraction leads to leftward and downward shifts. We addressed this hypothesis by analyzing spontaneous eye movements during mental arithmetic. Participants solved verbally presented arithmetic problems (e.g., 2 + 7, 8–3) aloud while looking at a blank screen. We found that eye movements reflected spatial biases in the ongoing mental operation: Gaze position shifted more upward when participants solved addition compared to subtraction problems, and the horizontal gaze position was partly determined by the magnitude of the operands. Interestingly, the difference between addition and subtraction trials was driven by the operator (plus vs. minus) but was not influenced by the computational process. Thus, our results do not support the idea of a mental movement toward the solution during arithmetic but indicate a semantic association between operation and space.

IGHD II: A Novel GH-1 Gene Mutation (GH-L76P) Severely Affects GH Folding, Stability, and Secretion

CONTEXT The autosomal dominant form of GH deficiency (IGHD II) is characterized by markedly reduced GH secretion combined with low concentrations of IGF-1 leading to short stature. OBJECTIVE Structure-function analysis of a missense mutation in the GH-1 gene converting codon 76 from leucine (L) to proline (P) yielding a mutant GH-L76P peptide. DESIGN, SETTINGS, AND PATIENTS Heterozygosity for GH-L76P/wt-GH was identified in a nonconsanguineous Spanish family. The index patients, two siblings, a boy and a girl, were referred for assessment of their short stature (-3.2 and -3.8 SD). Their grandmother, father, and aunt were also carrying the same mutation and showed severe short stature; therefore, IGHD II was diagnosed. INTERVENTIONS AND RESULTS AtT-20 cells coexpressing both wt-GH and GH-L76P showed a reduced GH secretion (P < .001) after forskolin stimulation when compared with the cells expressing only wt-GH. In silico mutagenesis and molecular dynamics simulations presented alterations of correct folding and mutant stability compared with wt-GH. Therefore, further structural analysis of the GH-L76P mutant was performed using expressed and purified proteins in Escherichia coli by thermofluor assay and fast degradation proteolysis assay. Both assays revealed that the GH-L76P mutant is unstable and misfolded compared to wt-GH confirming the bioinformatic model prediction. CONCLUSIONS This is the first report of a family suffering from short stature caused by IGHD II, which severely affects intracellular GH folding and stability as well as secretion, highlighting the necessity of functional analysis of any GH variant for defining new mechanisms as a cause for IGHD II.

On the initiation of boudinage and folding instabilities in layered elasto-visco-plastic solids - Insights from natural microstructures and numerical simulations

The present understanding of the initiation of boudinage and folding structures is based on viscosity contrasts and stress exponents, considering an intrinsically unstable state of the layer. The criterion of localization is believed to be prescribed by geometry-material interactions, which are often encountered in natural structures. An alternative localization phenomenon has been established for ductile materials, in which instability emerges for critical material parameters and loading rates from homogeneous conditions. In this thesis, conditions are sought under which this type of instability prevails and whether localization in geological materials necessarily requires a trigger by geometric imperfections. The relevance of critical deformation conditions, material parameters and the spatial configuration of instabilities are discussed in a geological context. In order to analyze boudinage geometries, a numerical eigenmode analysis is introduced. This method allows determining natural frequencies and wavelengths of a structure and inducing perturbations on these frequencies. In the subsequent coupled thermo-mechanical simulations, using a grain size evolution and end-member flow laws, localization emerges when material softening through grain size sensitive viscous creep sets in. Pinch-and-swell structures evolve along slip lines through a positive feedback between the matrix response and material bifurcations inside the layer, independent from the mesh-discretization length scale. Since boudinage and folding are considered to express the same general instability, both structures should arise independently of the sign of the loading conditions and for identical material parameters. To this end, the link between material to energy instabilities is approached by means of bifurcation analyses of the field equations and finite element simulations of the coupled system of equations. Boudinage and folding structures develop at the same critical energy threshold, where dissipative work by temperature-sensitive creep overcomes the diffusive capacity of the layer. This finding provides basis for a unified theory for strain localization in layered ductile materials. The numerical simulations are compared to natural pinch-and-swell microstructures, tracing the adaption of grain sizes, textures and creep mechanisms in calcite veins. The switch from dislocation to diffusion creep relates to strain-rate weakening, which is induced by dissipated heat from grain size reduction, and marks the onset of continuous necking. The time-dependent sequence uncovers multiple steady states at different time intervals. Microstructurally and mechanically stable conditions are finally expressed in the pinch-and-swell end members. The major outcome of this study is that boudinage and folding can be described as the same coupled energy-mechanical bifurcation, or as one critical energy attractor. This finding allows the derivation of critical deformation conditions and fundamental material parameters directly from localized structures in the field.